Three circles are drawn within triangle ABC such that no two circles

Question

Three circles are drawn within triangle ABC such that no two circles overlap and that each is tangent to one another and to the triangle in at least one place. What is their combined area?

(1) The radius of one of the circles is 4.

(2) Triangle ABC is equilateral.

Bunuel · Answer

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GMATinsight · Answer

Even if we combine the statements

- We have no dimensional constraint to draw to equilateral triangle of any specific size
-Radius of other two circles is unknown which may vary
- The point of tangencies is minimum one which doesn't restrict the movement of circles within the triangle and doesn't limit the size of other two circles

hence, Answer: Option E

The discrepancy in figure is as depicted in the attachment.

bumpbot · Answer

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Three circles are drawn within triangle ABC such that no two circles

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